Geodesic

Geometry of positive quadratic forms

Sommaire

Editor's preface
p. 3-4
The reduction domain, in the sense of Selling, of positive quadratic forms of five variables
p. 5-33
Uniqueness of classes of positive quadratic forms, on which values of Hermite constants are reached for
p. 34-86
Regular simplexes inscribed into a~cube and Hadamard matrices
p. 87-88
Compact three-dimensional manifolds of constant negative curvature
p. 89-96
Centerings of eight-dimensional lattices that preserve a~frame of successive minima
p. 97-123
A~characteristic property of a~disc
p. 124-137
The Voronoj polyhedron $\Pi(n)$ for $n=5$ and maximal finite groups of integral $5\times 5$ matrices
p. 138-161
On a~noncompact decomposition of ten-dimensional Lobachevsky space
p. 162-164
Noncompact three-dimensional manifolds of constant negative curvature that have finite measure
p. 165-169
Points of self-intersection of a~geodesic on a~smooth closed surface with locally Lobachevskij metric
p. 170-174
On the theory of construction of the Minkowski reduction domain
p. 175-194
Vertexes of a~symmetrized Minkowski domain for $n\le5$
p. 195-203
A~proof of the theorem on maximal finite groups of integral $5\times5$ matrices
p. 204-215
Narrow latticed packing of unit balls in the space $E^n$
p. 216-231
On the Rankin--Sobolev problem of the multidimensional zeta function (estimate of the origin of the ray of extremality of the principal perfect form)
p. 232-235